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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 19 · 40 questions
TalentJR

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

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  1. 1.A garden is 17 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.A triangle has a base of 27 cm and a height of 20 cm. What is its area (in sq cm)?
  3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  4. 4.A rectangular field is 23 m long and 12 m wide. What is its area (in sq m)?
  5. 5.A rectangular field is 24 m long and 11 m wide. What is its area (in sq m)?
  6. 6.A triangle has a base of 28 cm and a height of 23 cm. What is its area (in sq cm)?
  7. 7.A triangle has a base of 25 cm and a height of 6 cm. What is its area (in sq cm)?
  8. 8.A rectangle has an area of 36 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  9. 9.A garden is 34 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  10. 10.A rectangle has an area of 629 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  11. 11.A triangle has a base of 21 cm and a height of 4 cm. What is its area (in sq cm)?
  12. 12.A triangle has a base of 15 cm and a height of 20 cm. What is its area (in sq cm)?
  13. 13.A garden is 10 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  14. 14.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  15. 15.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  16. 16.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  17. 17.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  18. 18.A rectangular field is 36 m long and 13 m wide. What is its area (in sq m)?
  19. 19.A triangle has a base of 28 cm and a height of 9 cm. What is its area (in sq cm)?
  20. 20.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  21. 21.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A rectangle has an area of 280 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 35 m long and 30 m wide. What is its area (in sq m)?
  24. 24.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A garden is 21 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  26. 26.A rectangular field is 25 m long and 18 m wide. What is its area (in sq m)?
  27. 27.A garden is 30 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  28. 28.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A garden is 27 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.A triangle has a base of 22 cm and a height of 24 cm. What is its area (in sq cm)?
  32. 32.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  33. 33.A garden is 13 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.A rectangle has an area of 420 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  36. 36.A park is 14 m long and 12 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A park is 22 m long and 19 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.A rectangular field is 26 m long and 10 m wide. What is its area (in sq m)?
  40. 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?

Answer key

  1. 180
  2. 270
  3. 154
  4. 276
  5. 264
  6. 322
  7. 75
  8. 30
  9. 248
  10. 108
  11. 42
  12. 150
  13. 38
  14. 841
  15. 900
  16. 220
  17. 2464
  18. 468
  19. 126
  20. 25
  21. 132
  22. 86
  23. 1050
  24. 176
  25. 156
  26. 450
  27. 306
  28. 264
  29. 88
  30. 78
  31. 264
  32. 1386
  33. 174
  34. 82
  35. 441
  36. 624
  37. 984
  38. 220
  39. 260
  40. 264

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